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3 years ago

Please Help!!! 30 Points!!

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

Answer:

8.170

Step-by-step explanation:

$\log_2{288}=\log_2{2^53^2}=\log_2{2^5}+\log_2{3^2}\\\\=5\log_2{2}+2\log_2{3}\approx 5+2(1.5850)=8.170$

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Enter the finite geometric series from its given description, and then enter its sum.

Mama L [17]

Answer:

$a_n= 4(-5)^{(n-1)}$

-10416

Step-by-step explanation:

a = 4

r = -5

geometric series: $a_n=ar^{(n-1)} = 4(-5)^{(n-1)}$

Determine which term = -12500:

$a_n=-12500$

$4(-5)^{(n-1)}=-12500$

$(-5)^{(n-1)} = -3125$

$(5)^{(n-1)} = 3125$

$(n-1)ln(5) = ln(3125)$

$n-1 = ln(3125)/ln(5) = 5$

$n = 5 + 1 = 6$

$a_6=-12500$

Using geometric sum series formula: $S_n=\frac{a(1-r^n)}{1-r}$

Therefore, $S_6=\frac{4(1-(-5)^6)}{1-(-5)} =\frac{-62496}{6} =-10416$

4 0

2 years ago

Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area

harkovskaia [24]

Answer:

The area of the cover for the hot tub must be:

38 square feet.

Step-by-step explanation:

First, you must understand that since a hydromassage tub is mentioned and the diameter, it is assimilated that it is round in its upper part, which is why the formula is used to find the area of a circle:

Area of a circle = pi * radius ^ 2 (you must know that the radius is half the diameter)

Since the diameter is mentioned, it can be replaced in the formula:

Area of a circle = 3.14 * (3.5 feet) ^ 2
Area of a circle = 38,465 square feet. Approximately 38 square feet.

7 0

3 years ago

Read 2 more answers

One number exceeds another by 44. the sum of the numbers is 24. what are the numbers?

baherus [9]

Let, the numbers = x,y

x+y= 24 1st eqn

x-y = 44 2nd eqn

24-y-y = 44

-2y = 44-24

y = 20/-2 = -10

substitute that in equation 1st x = 24+10 = 34

so, the numbers would be 34 & -10

4 0

3 years ago

Find the equation of the line with a slope of 3/4 and passes through (4-2)

Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

5 0

2 years ago

A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examinin

professor190 [17]

Answer:

Step-by-step explanation:

3 0

2 years ago